Time Spent on Beneficial Leisure Activities Among Elder Caregivers in Their Third Age

The Third Age is an emerging postretirement life stage characterized by better health and greater independence than previous cohorts have experienced, and recognized as an ideal time for personal growth and leisure. Yet the same demographic force that is partially responsible for this new life stage—population aging—is also driving an increased need for long-term services and supports, and Third Agers often find themselves fulfilling these caregiving roles. Thus, data from the 2013 American Time Use survey were analyzed to assess elder-caregiving-related barriers to leisure among Third Agers. While, caregivers were found to report more total leisure time and social activities, they reported less time on physical activities than noncaregivers. Results were found to differ by weekday or weekend status. Future research needs to consider specific types of leisure time use, as well as timing of leisure activities, to promote quality of life among caregivers in their Third Age.     

A test of cross section dependence for a linear dynamic panel model with regressors

This paper proposes a new testing procedure for detecting error cross section dependence after estimating a linear dynamic panel data model with regressors using the generalised method of moments (GMM). The test is valid when the cross-sectional dimension of the panel is large relative to the time series dimension. Importantly, our approach allows one to examine whether any error cross section dependence remains after including time dummies (or after transforming the data in terms of deviations from time-specific averages), which will be the case under heterogeneous error cross section dependence. Finite sample simulation-based results suggest that our tests perform well, particularly the version based on the [Blundell, R., Bond, S., 1998. Initial conditions and moment restrictions in dynamic panel data models. Journal of Econometrics 87, 115–143] system GMM estimator. In addition, it is shown that the system GMM estimator, based only on partial instruments consisting of the regressors, can be a reliable alternative to the standard GMM estimators under heterogeneous error cross section dependence. The proposed tests are applied to employment equations using UK firm data and the results show little evidence of heterogeneous error cross section dependence.     

GAINS FROM TRADE

In a social choice context, we ask whether there exists a rule in which nobody loses under trade liberalization. We consider a resource allocation problem in which the traded commodities vary. We propose an axiom stating that enlarging the set of tradable commodities hurts nobody. We show that if a rule satisfies this axiom, together with an allocative efficiency axiom and an institutional constraint axiom stating that only preferences over tradable commodities matter, gains from trade can be given to only one individual in the first step of liberalization.     

Informal parental care and female labour supply in Japan

Using the Japanese Study of Aging and Retirement, Japan’s first globally comparable panel survey of the elderly, we estimate the effect on female employment in Japan due to the provision of informal parental care. We observe that informal parental care has little impact on female employment, after controlling for endogeneity of informal care or individual unobserved time-invariant heterogeneity. This finding is consistent with those observed in Europe and the US, underscoring a limited association between care and work in Japan, which is facing ageing at the fastest pace among advanced economies.     

Child Benefit Payments and Household Wealth Accumulation

Using the life‐cycle/permanent income hypothesis, we theoretically and empirically assess the impact of child benefit payments on household wealth accumulation. Consistent with the predictions of the model, we find that higher cumulative benefits received increase current assets, higher future benefit payments lower asset holding, and that these effects systematically vary over the life cycle. We find different wealth responses to child benefit payments for liquidity constrained and unconstrained households, as predicted by the model.     

Dynamic optimization with a nonsmooth, nonconvex technology: the case of a linear objective function

This paper studies a one-sector optimal growth model with linear utility in which the production function is only required to be increasing and upper semicontinuous. The model also allows for a general form of irreversible investment. We show that every optimal capital path is strictly monotone until it reaches a steady state; further, it either converges to zero, or reaches a positive steady state in finite time and possibly jumps among different steady states afterwards. We establish conditions for extinction (convergence to zero), survival (boundedness away from zero), and the existence of a critical capital stock below which extinction is possible and above which survival is ensured. These conditions generalize those known for the case of S-shaped production functions. We also show that as the discount factor approaches one, optimal paths converge to a small neighborhood of the capital stock that maximizes sustainable consumption.This paper is dedicated to Professor Mukul Majumdar on his 60th birthday. His research with various co-authors in the late 70s and the 80s pioneered innovative techniques for the analysis of nonconvex dynamic optimization models – both deterministic and stochastic. Roy considers himself particularly fortunate for having had the opportunity to learn economic theory and mathematical economics from Professor Majumdar. This paper has benefited from helpful comments and suggestions by an anonymous referee. Financial support from the 21st Century COE Program at GSE and RIEB, Kobe University, is gratefully acknowledged.     

Almost sure convergence to zero in stochastic growth models

This paper considers the resource constraint commonly used in stochastic one-sector growth models. Shocks are not required to be i.i.d. It is shown that any feasible path converges to zero exponentially fast almost surely under a certain condition. In the case of multiplicative shocks, the condition means that the shocks are sufficiently volatile. Convergence is faster the larger their volatility, and the smaller the maximum average product of capital.I would like to thank Santanu Roy, John Stachurski, Lars J. Olson, and an anonymous referee for helpful comments and suggestions. The general result in section 2 owes much to the referee’s comments on an earlier version of this paper. Financial support from the 21 Century COE Program at GSE and RIEB, Kobe University is gratefully acknowledged.